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Unhealthy quetsion

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Senior | Next Rank: 100 Posts
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by engg.manik » Sun Oct 04, 2009 8:45 am
6. There have 500 employees in the company. 3/4 of the male and 1/2 of the female were unhealthy according to the health report. There have totally 300 employees are not healthy. How many female are unhealthy?

quite confusing pls help
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Source: — Problem Solving |
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Solution

by silverslash » Sun Oct 04, 2009 9:52 am
Take the long way out by forming equations when in doubt

A. 3/4 M+1/2F = 300
B. M+F = 500

Simplifying A.
(3M + 2F)/4 = 300 or
3M + 2F = 1200 ...... (C)

Also Multiplying Eqn B by 2 we get
2M+2F = 1000......... (D)

Now solving A and B for values of M or F, we subtract D from C

M= 200 and hence F = 300.

Now just to be sure, recheck.

1/2 of 300 = 150 + 3/4 of 200 = 150 ( both of whih adds up to 300 = Eqn A.

Note: Won't be writing so many steps while calculating for GMAT :D

Cheers

S
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by sanjana » Mon Oct 05, 2009 9:52 am
For problems involving overlapping sets,always use the table approach. MGMAT advises this

Attatched solution.
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